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Prime Ideals in Polycyclic Group Rings

  • B. A. F. WehrfritzEmail author
Chapter
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Part of the Algebra and Applications book series (AA, volume 10)

Abstract

If G is a polycyclic group and p is a prime ideal of the group ring Z G, how big is p? For example, is it determined by a relatively small subgroup of G? How long can a chain of prime ideals of Z G be? These are the sort of questions we consider in this chapter. The proofs frequently use induction on the Hirsch number, so we begin by looking at the connection between the prime ideals of Z G and the prime ideals of Z H for H a normal subgroup of G.

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Copyright information

© Springer-Verlag London 2009

Authors and Affiliations

  1. 1.School of Mathematical SciencesQueen Mary, University of LondonLondonUK

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